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Instructions: Write 2x+3y=92𝑥+3𝑦=9 to slope-intercept form. Slope-Intercept Form: y=𝑦=

Question

Instructions:

Convert the equation

2x + 3y = 92

to slope-intercept form.

Slope-Intercept Form:

y =

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Solution

To convert the equation 2x + 3y = 9 to slope-intercept form (y = mx + b), follow these steps:

  1. Start with the original equation: 2x + 3y = 9
  2. Isolate y on one side of the equation. To do this, subtract 2x from both sides of the equation: 3y = -2x + 9
  3. Divide every term by 3 to solve for y: y = -2/3x + 3

So, the equation in slope-intercept form is y = -2/3x + 3.

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